Tabla de Contenidos: “…Cover -- Contents -- Preface -- About the Authors -- Unit - 1 -- Chapter 1: Sets and Relations -- 1.1 Sets -- 1.2 Exercise -- 1.3 Algebra of Sets -- 1.4 Exercise -- 1.5 Binary Relation -- Graph of a Relation -- Properties of Binary Relation on a Set -- Equivalence Relation -- Graph of an Equivalence Relation -- 1.6 Exercise -- 1.7 Supplementary Exercises -- 1.8 Answers to Exercises -- Chapter 2: Binary Operations -- 2.1 Definition and Examples -- The multiplication table (Cayley table) -- Properties of binary operations -- Operation with Identity Element -- 2.2 Exercise -- 2.3 Introduction to Groups -- 2.4 Symmetries -- Symmetries of Non-square Rectangle -- Symmetries of an Equilateral Triangle -- Dihedral group -- 2.5 Exercise -- 2.6 Solved Problems -- 2.7 Supplementary Exercises -- 2.8 Answers to Exercises -- Chapter 3: Functions -- 3.1 Definition and Representation -- Arrow Diagram for Function -- Representation of a Function -- 3.2 Images and Inverse Images -- Inverse Images -- Inverse image of a set -- 3.3 Types of Functions -- 3.4 Real Valued Functions -- 3.5 Some Functions on the Set of Real Numbers -- 3.6 Exercise -- 3.7 Inverse of a Function -- 3.8 Composition of Functions -- 3.9 Solved Problems -- 3.10 Exercise -- 3.11 Cardinality of a Set -- 3.12 Countable Sets -- 3.13 Exercise -- 3.14 Solved Problems -- 3.15 Supplementary Exercise -- 3.16 Answers to Exercises -- Chapter 4: Number System -- 4.1 Number Systems -- Algebraic Properties of Natural Numbers -- Order Properties of Natural Numbers -- Algebraic Properties of Integers -- Order Properties of Integers -- Divisibility -- 4.2 Division Algorithm -- 4.3 Exercise -- 4.4 Greatest Common Divisor -- Euclidean Algorithm -- Working Rule -- 4.5 Least Common Multiple -- 4.6 Exercise -- 4.7 Congruence Relation -- 4.8 Exercise -- 4.9 Supplementary Problems -- 4.10 Answers to Exercises…”

Materias: “…Álgebra Problemas…”

Materias: “…Álgebra…”

Materias:

Materias: “…Álgebra Estudio y enseñanza…”

Materias: “…Álgebra abstracta…”

Acceso restringido con credenciales UPSA

Acceso restringido con credenciales UPSA

Lectura limitada a 1 usuario concurrente.

Materias: “…Algebra…”
Acceso restringido, con credenciales UPSA

Materias: Enlace del recurso

“…El texto recoge la parte teórica correspondiente a la asignatura de Álgebra Lineal, tal y como se imparte en el Grupo Bilingüe del Grado en Tecnologías de la Telecomunicación de la Universidad de Alcalá. …”
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Materias: “…Álgebra…”

Materias: “…Álgebra…”

Materias: “…Álgebra…”

Materias: “…Álgebra…”

Materias: “…Álgebra…”

Materias: “…Álgebra…”